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maths (sets)

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32 candidates took examinations at centre. 11 took french,9 took spanish and x took both,18 took neither subject
1.Write an expression in x for the number of candidates in the universal set
2.Calculate the value of x

  • maths (sets) -

    Use Venn diagrams

    Draw two intersecting circles, label one French, the other Spanish

    Place x in the overlap, 11-x in the non-overlapping part of the French circle and 9-x in the non-overlapping part of the Spanish circle. Put 18 outside the two circles.

    11-x + x + 9-x + 18 = 32

    solve for x=6

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